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2117455340 = 22571113105767
BaseRepresentation
bin111111000110101…
…1100110111101100
312110120100212122212
41332031130313230
513314032032330
6550040225552
7103321034120
oct17615346754
95416325585
102117455340
119972805a0
124b116b2b8
132798bcc70
14161311580
15c5d64295
hex7e35cdec

2117455340 has 96 divisors (see below), whose sum is σ = 5970392064. Its totient is φ = 609212160.

The previous prime is 2117455339. The next prime is 2117455367. The reversal of 2117455340 is 435547112.

It is a junction number, because it is equal to n+sod(n) for n = 2117455297 and 2117455306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32864 + ... + 72903.

It is an arithmetic number, because the mean of its divisors is an integer number (62191584).

Almost surely, 22117455340 is an apocalyptic number.

2117455340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2117455340 is an abundant number, since it is smaller than the sum of its proper divisors (3852936724).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2117455340 is a wasteful number, since it uses less digits than its factorization.

2117455340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105807 (or 105805 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 2117455340 is about 46015.8161940001. The cubic root of 2117455340 is about 1284.1174659536.

The spelling of 2117455340 in words is "two billion, one hundred seventeen million, four hundred fifty-five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 105767 211534 423068 528835 740369 1057670 1163437 1374971 1480738 2115340 2326874 2749942 2961476 3701845 4653748 5499884 5817185 6874855 7403690 8144059 9624797 11634370 13749710 14807380 15124681 16288118 19249594 23268740 27499420 30249362 32576236 38499188 40720295 48123985 60498724 75623405 81440590 96247970 105872767 151246810 162881180 192495940 211745534 302493620 423491068 529363835 1058727670 2117455340